Nur Alam
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Give an example of a star-Menger space which is not star-$K$-Menger
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Let $P=\{x_\alpha : \alpha<\mathfrak{c}\}$, $Q=\{y_n : n\in\mathbb{N}\}$ and $Y=\{(x_\alpha, y_n) : \alpha<\mathfrak{c}, n\in\mathbb{N}\}$, and let $$X=Y\cup P\cup\{p\}$$ where $p\notin Y\cup P$....

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